Study of impulsive problems under Mittag-Leffler power law
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Date
2020
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Publisher
Elsevier Sci Ltd
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Abstract
This article is fundamentally concerned with deriving the solution formula, existence, and uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential equations involving Atangana-Baleanu-Caputo (ABC) fractional derivative which possesses nonsingular Mittag-Leffler kernel. Our investigation is based on nonlinear functional analysis and some fixed point techniques. Besides, some examples are given delineated to illustrate the effectiveness of our outcome.
Description
Abdo, Mohammed S./0000-0001-9085-324X; Shah, Kamal/0000-0002-8851-4844
Keywords
Mathematics, Fractional Impulsive Problems, Atangana-Baleanu-Caputo Operator, Existence Theory, Fixed Point Theorem
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Citation
Abdo, Mohammed S...et al. (2020). "Study of impulsive problems under Mittag-Leffler power law", Heliyon, Vol. 6, No. 10.
WoS Q
Q2
Scopus Q
Q1
Source
Volume
6
Issue
10